Partial Differential Equations and the Method of Characteristics

2021 ◽  
pp. 79-106
Author(s):  
Maurizio Bottoni
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Method Of Characteristics ◽  
Partial Differential ◽  
The Method Of Characteristics

scholarly journals POLYNOMIAL FIRST INTEGRALS FOR THE CHEN AND LÜ SYSTEMS

2012 ◽  
Vol 22 (11) ◽  
pp. 1250262 ◽  
Author(s):  
JAUME LLIBRE ◽  
CLAUDIA VALLS
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Method Of Characteristics ◽  
First Integrals ◽  
Homogeneous Polynomials ◽  
Partial Differential ◽  
The Method Of Characteristics

We characterize all the values of the parameters for which the Chen and Lü systems have polynomial first integrals by using weight homogeneous polynomials and the method of characteristics for solving partial differential equations. We improve previous results which were not complete.

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